Professor Murray Batchelor
Areas of expertise
- Integrable Systems (Classical And Quantum) 010502
- Combinatorics And Discrete Mathematics (Excl. Physical Combinatorics) 010104
- Electronic And Magnetic Properties Of Condensed Matter; Superconductivity 020404
- Statistical Mechanics, Physical Combinatorics And Mathematical Aspects Of Condensed Matter 010506
- Algebraic Structures In Mathematical Physics 010501
- Degenerate Quantum Gases And Atom Optics 020601
- Mathematical Physics 0105
- Complex Physical Systems 029902
- Thermodynamics And Statistical Physics 020304
- Numerical And Computational Mathematics 0103
Biography
Murray Batchelor was born in Taree, NSW, Australia. He completed 1st Class Honours with a University Medal in Theoretical Physics at The University of New South Wales in 1983. He obtained his PhD in Mathematics at The Australian National University in 1987 and then worked for a year at Instituut Lorentz for Theoretical Physics in Leiden, The Netherlands.
He was supported by the Australian Research Council for 18 consecutive years through the award of a Queen Elizabeth II Research Fellowship, two Senior Research Fellowships and an Australian Professorial Fellowship. He has also held numerous Large Grants with the Australian Research Council.
He was awarded The Australian Academy of Science Pawsey Medal (1997) for outstanding research in physics and The Australian Mathematical Society Medal (1998) for distinguished research in the mathematical sciences. He is the only researcher to receive both awards.
He was promoted to full Professor at ANU in 2001. From mid 2005 to March 2013 he served as Head of the Department of Theoretical Physics, RSPE.
Professor Batchelor has held visiting positions at the Universities of Amsterdam, Oxford and Tokyo. In June 2008 he was awarded an Honorary Professorship from Chongqing University in China. He held a Visiting Fellowship at All Souls College, Oxford in 2013 and took up a position at Chongqing University in the Centre for Modern Physics.
From 2009-2013 Professor Batchelor was Editor-in-Chief of the UK based Journal of Physics A: Mathematical and Theoretical. Prior to this he was Mathematical Physics Section Editor (2007-2008) and a member of the Editorial Board (2005-2006). He also served on the Editorial Board of Journal of Statistical Mechanics (2004-2008). In 2007 he was a member of the Mathematical and Information Sciences and Technology Assessment Panel for the Australian Research Quality Framework.
Professor Batchelor is a Fellow of the Australian Mathematical Society, a Fellow of the Australian Institute of Physics and a Fellow of the Institute of Physics (UK).
Professor Batchelor is a Council Member of the Asia-Pacific Centre for Theoretical Physics and a member of the Chatham High School Hall of Fame, where he participated in the Scientists in Schools program in 2013.
Entry at google scholar
Publications
- Chen, X, McCulloch, I, Batchelor, M et al. 2020, 'Symmetry-protected trivial phases and quantum phase transitions in an anisotropic antiferromagnetic spin-1 biquadratic model', Physical Review B, vol. 102, no. 8.
- Adderton, R, Batchelor, M & Wedrich, P 2020, 'A coupled Temperley-Lieb algebra for the superintegrable chiral Potts chain', Journal of Physics A: Mathematical and Theoretical, vol. 53, no. 36, pp. 1-10.
- Liu, Z, Henry, R, Batchelor, M et al. 2019, 'Some ground-state expectation values for the free parafermion Z(N) spin chain', Journal of Statistical Mechanics: Theory and Experiment, vol. 2019, no. 12, pp. 1-17.
- Batchelor, M, Burne, R, Henry, B et al 2018, 'A biofilm and organomineralisation model for the growth and limiting size of ooids', Scientific Reports, vol. 8, no. 559, pp. 1-9pp.
- Cheng, S, Yu, Y, Batchelor, M et al 2018, 'Universal thermodynamics of the one-dimensional attractive Hubbard model', Physical Review B: Condensed Matter and Materials, vol. 97, no. 12, pp. 1-21.
- Alcaraz, F & Batchelor, M 2018, 'Anomalous bulk behavior in the free parafermion Z(N) spin chain', Physical Review E, vol. 97, no. 6, pp. 1-7.
- Guan, K, Li, Z, Dunning, C et al 2018, 'The asymmetric quantum Rabi model and generalised Poschl-Teller potentials', Journal of Physics A: Mathematical and Theoretical, vol. 51, no. 31, pp. 1-16.
- Cheng S, Jiang, Y, Yu, Y, Batchelor, M et al 2018, 'Asymptotic correlation functions and FFLO signature for the one-dimensional attractive Hubbard model', Nuclear Physics B, vol. 929, pp. 353-376pp.
- Cheng, S, Yu, Y, Batchelor, M & Guan, X 2018, 'Fulde-Ferrell-Larkin-Ovchinnikov correlation and free fluids in the one-dimensional attractive Hubbard model', Physical Review B: Condensed Matter and Materials, vol. 97, no. 12, pp. 1-6pp.
- Alcaraz, F, Batchelor, M & Liu, Z 2017, 'Energy spectrum and critical exponents of the free parafermion Z(N) spin chain', Journal of Physics A: Mathematical and Theoretical, vol. 50, no. 16, pp. 1-8.
- Li, S, Shi, Q, Batchelor, M et al 2017, 'Groundstate fidelity phase diagram of the fully anisotropic two-leg spin-1/2 XXZ ladder', New Journal of Physics, vol. 19, no. 11, pp. 1-15pp.
- Xie, Q, Zhong, H, Batchelor, M et al 2017, 'The quantum Rabi model: Solution and dynamics', Journal of Physics A: Mathematical and Theoretical, vol. 50, no. 11, pp. 1-40pp.
- Batchelor, M 2017, 'Thermal critical exponents of the q-state Potts model', Journal of Physics A: Mathematical and Theoretical, vol. 50, no. 13, pp. 1-3pp.
- Dai, Y, Cho, S, Batchelor, M et al 2017, 'Entanglement entropy and massless phase in the antiferromagnetic three-state quantum chiral clock model', Physical Review B, vol. 95, no. 1, pp. -.
- Batchelor, M, Bazhanov, V & Mangazeev, V 2017, 'Exactly solved models and beyond: A special issue in honour of R J Baxter's 75th birthday', Journal of Physics A: Mathematical and Theoretical, vol. 50, no. 1, pp. 6pp.
- Dai, Y, Shi, Q, Cho, S et al 2017, 'Finite-temperature fidelity and von Neumann entropy in the honeycomb spin lattice with quantum Ising interaction', Physical Review B: Condensed Matter and Materials, vol. 95, no. 21, pp. 214409 (1-9 pp).
- Li, Z & Batchelor, M 2016, 'Addendum to 'Algebraic equations for the exceptional eigenspectrum of the generalized Rabi model'', Journal of Physics A: Mathematical and Theoretical, vol. 49, no. 36, pp. 6pp.
- Chen, X, Cho, S, Zhou, H et al 2016, 'The antiferromagnetic cross-coupled spin ladder: Quantum fidelity and tensor networks approach', Journal of the Korean Physical Society, vol. 68, no. 9, pp. 1114-1119.
- Batchelor, M & Foerster, A 2016, 'Yang-Baxter integrable models in experiments: From condensed matter to ultracold atoms', Journal of Physics A: Mathematical and Theoretical, vol. 49, no. 17, pp. 173001 (22 pp).
- Batchelor, M, Shi, Q, Wang, H et al 2016, 'Geometric entanglement and quantum phase transitions in two-dimensional quantum lattice models', Physical Review A: Atomic, Molecular and Optical Physics, vol. 93, no. 6, pp. 1-10.
- Batchelor, M, Braak, D, Chen, Q et al 2016, 'Semi-classical and quantum Rabi models: In celebration of 80 years', Journal of Physics A: Mathematical and Theoretical, vol. 49, no. 30, pp. 1-4.
- Batchelor, M, Li, Z & Zhou, H 2016, 'Energy landscape and conical intersection points of the driven Rabi model', Journal of Physics A: Mathematical and Theoretical, vol. 49, no. 1, pp. -.
- Batchelor, M & Zhou, H 2015, 'Integrability versus exact solvability in the quantum Rabi and Dicke models', Physical Review A: Atomic, Molecular and Optical Physics, vol. 91, no. 5.
- Shi, Q, Zhou, H & Batchelor, M 2015, 'Universal Order Parameters and Quantum Phase Transitions: A Finite-Size Approach', Scientific Reports, vol. 5, pp. 1-5.
- Li, Z & Batchelor, M 2015, 'Algebraic equations for the exceptional eigenspectrum of the generalized Rabi model', Journal of Physics A: Mathematical and Theoretical, vol. 48, no. 45, pp. -.
- Batchelor, M 2014, 'The importance of being integrable: Out of the paper, into the lab', International Journal of Modern Physics B, vol. 28, no. 18, p. 13.
- Alam, I & Batchelor, M 2014, 'Integrability as a consequence of discrete holomorphicity: loop models', Journal of Physics A: Mathematical and Theoretical, vol. 47, no. 21, pp. 1-17.
- Zhong, H, Xie, Q, Guan, X et al 2014, 'Analytical energy spectrum for hybrid mechanical systems', Journal of Physics A: Mathematical and Theoretical, vol. 47, no. 4.
- Dai, Y, Cho, S, Batchelor, M et al 2014, 'Degenerate ground states and multiple bifurcations in a two-dimensional q-state quantum Potts model', Physical Review E-Statistical, Nonlinear and Soft Matter Physics, vol. 89, no. 6, pp. 1-7.
- Zhong, H, Xie, Q, Batchelor, M et al 2013, 'Analytical eigenstates for the quantum Rabi model', Journal of Physics A: Mathematical and Theoretical, vol. 46, no. 41, p. 14.
- Guan, X, Batchelor, M & Li, C 2013, 'Fermi gases in one dimension: From Bethe ansatz to experiments', Reviews of Modern Physics, vol. 85, no. 4, pp. 1633-1691.
- Guan, X, Yin, X, Foerster, A et al 2013, 'Wilson Ratio of Fermi gases in One Dimension', Physical Review Letters, vol. 111, no. 13, pp.
- Wang, M, Huang, J, Lee, C et al 2013, 'Universal local pair correlations of Lieb-Liniger bosons at quantum criticality', Physical Review A: Atomic, Molecular and Optical Physics, vol. 87, no. 4, 043634, pp.7.
- Noschang Kuhn, C, Guan, X, Foerster, A et al 2012, 'Quantum criticality of spin-1 bosons in a one-dimensional harmonic trap', Physical Review A: Atomic, Molecular and Optical Physics, vol. 86, no. 1, p. 4.
- Noschang Kuhn, C, Guan, X, Foerster, A et al 2012, 'Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction', Physical Review A: Atomic, Molecular and Optical Physics, vol. 85, no. 4.
- Lee, J, Guan, X, del Campo, A et al 2012, 'Asymptotic Bethe-ansatz solution for one-dimensional SU(2) spinor bosons with finite-range Gaussian interactions', Physical Review A: Atomic, Molecular and Optical Physics, vol. 85, no. 1, pp. 013629,1-13.
- Alam, I & Batchelor, M 2012, 'Integrability as a consequence of discrete holomorphicity: the Z_{N} model', Journal of Physics A: Mathematical and Theoretical, vol. 45, no. 49.
- Lee, J, Guan, X, Sakai, K et al 2012, 'Thermodynamics, spin-charge separation, and correlation functions of spin-1/2 fermions with repulsive interaction', Physical Review B: Condensed Matter and Materials, vol. 85, no. 8.
- Guan, X & Batchelor, M 2011, 'Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems', Journal of Physics A: Mathematical and Theoretical, vol. 44, no. 10, p. 10.
- He, P, Lee, J, Guan, X et al 2011, 'Thermodynamics and spin-charge separation of one-dimensional strongly repulsive three-component fermions', Journal of Physics A: Mathematical and Theoretical, vol. 44, no. 40, pp. 405005(19).
- Yin, X, Guan, X, Chen, S et al 2011, 'Quantum criticality and universal scaling of strongly attractive spin-imbalanced Fermi gases in a one-dimensional harmonic trap', Physical Review A: Atomic, Molecular and Optical Physics, vol. 84, no. 1, pp. 011602 1-4.
- Lee, J, Guan, X & Batchelor, M 2011, 'Yang-Yang method for the thermodynamics of one-dimensional multi-component interacting fermions', Journal of Physics A: Mathematical and Theoretical, vol. 44, no. 16, pp. 1-18.
- Yin, X, Guan, X, Batchelor, M et al 2011, 'Effective super Tonks-Girardeau gases as ground states of strongly attractive multicomponent fermions', Physical Review A: Atomic, Molecular and Optical Physics, vol. 83, no. 1, pp. 1-6.
- He, P, Yin, X, Guan, X et al 2010, 'Analytical thermodynamics of a strongly attractive three-component Fermi gas in one dimension', Physical Review A: Atomic, Molecular and Optical Physics, vol. 82, no. 5, p. 15.
- Batchelor, M, Foerster, A, Guan, X et al 2010, 'Exactly solvable models and ultracold Fermi gases', Journal of Statistical Mechanics: Theory and Experiment, vol. 2010, pp. 1-16.
- Batchelor, M, Foerster, A, Guan, X et al 2010, 'Exactly solvable models and ultracold Fermi gases', Journal of Statistical Mechanics: Theory and Experiment, vol. 2010, pp. 1-16.
- Mangazeev, V, Dudalev, M, Bazhanov, V et al 2010, 'Scaling and universality in the two-dimensional Ising model with a magnetic field', Physical Review E-Statistical, Nonlinear and Soft Matter Physics, vol. 81, 060103(R) [4 pages]
- Batchelor, M & Wille, L 1999, STATISTICAL PHYSICS ON THE EVE OF THE 21ST CENTURY, World Scientific Publishing Company, Singapore.
- Chen, S, Guan, X, Yin, X et al 2010, 'Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gases', Physical Review A: Atomic, Molecular and Optical Physics, vol. 81, no. 3, p. 3.
- Guan, X, Lee, J, Batchelor, M et al 2010, 'Universal Tomonaga-Luttinger liquid phases in one-dimensional strongly attractive SU(N) fermionic cold atoms', Physical Review A: Atomic, Molecular and Optical Physics, vol. 82, no. 2, p. 4.
- Zhao, E, Guan, X, Liu, V et al 2009, 'Analytic Thermodynamics and Thermometry of Gaudin-Yang Fermi Gases', Physical Review Letters, vol. 103, no. 140404, p. 4.
- He, J, Foerster, A, Guan, X et al 2009, 'Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization', New Journal of Physics, vol. 11, pp. 1-17.
- Mangazeev, V, Batchelor, M, Bazhanov, V et al 2009, 'Variational approach to the scaling function of the 2D Ising model in a magnetic field', Journal of Physics A: Mathematical and Theoretical, vol. 42, no. 042005, p. 10.
- Guan, X, Batchelor, M, Li, C et al 2009, 'Unified description of pairing, trionic and quarteting states for one-dimensional SU(4) attractive fermions', Europhysics Letters, vol. 86, no. 5, p. 6.
- Lee, J, Guan, X, Batchelor, M et al 2009, 'Magnetism of one-dimensional strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction', Physical Review A: Atomic, Molecular and Optical Physics, vol. 80, no. 063625, p. 9.
- Guan, X, Batchelor, M, Li, C et al 2008, 'Magnetic phase transitions in one-dimensional strongly attractive three-component ultracold fermions', Physical Review Letters, vol. 100, no. 20, pp. 200401-1-4.
- Batchelor, M, Foerster, A, Guan, X et al 2008, 'The quantum inverse scattering method with anyonic grading', Journal of Physics A: Mathematical and Theoretical, vol. 41, no. 46, pp. 465201 (13).
- Deutscher, N & Batchelor, M 2008, 'SLE (k,p) processes, hiding exponents and self-avoiding walks in a wedge', Journal of Physics A: Mathematical and Theoretical, vol. 41, no. 3, pp. 035001 (1-10).
- Batchelor, M, Guan, X & Kundu, A 2008, 'One-dimensional anyons with competing Î´-function and derivative Î´-function potentials', Journal of Physics A: Mathematical and Theoretical, vol. 41, no. 35, pp. 352002 (8).
- Batchelor, M 2008, 'The art of sangaku', Nature Physics, vol. 4, no. September, p. 669.
- Guan, X, Batchelor, M & Lee, J 2008, 'Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures', Physical Review A: Atomic, Molecular and Optical Physics, vol. 78, pp. 023621- 1-10.
- Batchelor, M 2007, 'The Bethe Ansatz After 75 Years', Physics Today, vol. Jan 2007, pp. 36-40.
- Guan, X, Batchelor, M & Takahashi, M 2007, 'Ferromagnetic behavior in the strongly interacting two-component Bose gas', Physical Review A: Atomic, Molecular and Optical Physics, vol. 76, pp. 043617 1-11.
- Batchelor, M & Guan, X 2007, 'Fermionization and Fractional Statistics in the Strongly Interacting One-Dimensional Bose Gas', Laser Physics Letters, vol. 4, no. 1, pp. 77-83.
- Batchelor, M, Guan, X & He, J 2007, 'The Bethe Ansatz for 1D Interacting Anyons', Journal of Statistical Mechanics: Theory and Experiment, vol. P03007 March, no. Online, pp. 1-20.
- Batchelor, M, Guan, X, Oelkers, N et al. 2007, 'Integrable Models and Quantum Spin Ladders: Comparison Between Theory and Experiment for the Strong Coupling Ladder Compounds', Advances in Physics, vol. 56, no. 3, pp. 465-543.
- Guan, X, Batchelor, M, Li, C et al 2007, 'Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases', Physical Review B: Condensed Matter and Materials, vol. 76, pp. 085120 1-9.
- Batchelor, M, Bortz, M, Guan, X et al 2006, 'Collective Dispersion Relations for the one-dimensional interacting two-component Bose and Fermi Gases', Journal of Statistical Mechanics: Theory and Experiment, vol. 3, p. 03016.
- Batchelor, M, Guan, X & Oelkers, N 2006, 'One-dimensional Interacting Anyon Gas: Low-energy Properties and Haldane Exclusion Statistics', Physical Review Letters, vol. 96, pp. 210402-1-4.
- Batchelor, M, Bortz, M, Guan, X et al 2006, 'Exact Results for the 1D Interacting Fermi Gas with Arbitrary Polarization', Journal of Physics: Conference Series(online), vol. 42, pp. 5-10.
- Batchelor, M & Guan, X 2006, 'Generalized Exclusion Statistics and Degenerate Signature of Strongly Interacting Anyons', Physical Review B: Condensed Matter and Materials, vol. 74, no. 19, pp. 195121(7).
- Oelkers, N, Batchelor, M, Bortz, M et al 2006, 'Bethe Ansatz Study of One-dimensional Bose and Fermi Gases with Periodic and Hard Wall Boundary Conditions', Journal of Physics A: Mathematical and General, vol. 39, pp. 1073-1098.
- Batchelor, M, Guan, X, Dunning, C et al 2005, 'The 1D Bose Gas with Weakly Repulsive Delta Interaction', Journal of the Physical Society of Japan Supplement, vol. 74, pp. 53-56.
- Batchelor, M, Guan, X, Oelkers, N et al 2005, 'The 1D Interacting Bose Gas in a Hard Wall Box', Journal of Physics A: Mathematical and General, vol. 38, pp. 7787-7806.
- Batchelor, M, Bortz, M, Guan, X et al 2005, 'Evidence for the Super Tonks-Girardeau Gas', Journal of Statistical Mechanics: Theory and Experiment, vol. 10, pp. L10001-1-9.
- Batchelor, M 2005, 'Book review: Beautiful Models: 70 Years of Exactly Solved Quantum Many-Body Problems', Journal of Physics A: Mathematical and General, vol. 38, pp. 3245-3246.
- Batchelor, M 2005, 'A course in Modern Mathematical Physics Groups, Hilbert Space and Differential Geometry', Australian Mathematical Society Gazette, vol. tba, pp. 350-351.
- Batchelor, M, Bortz, M, Guan, X et al 2005, 'Exact Results for the One-Dimensional Mixed Boson-Fermion Interacting Gas', Physical Review A: Atomic, Molecular and Optical Physics, vol. 72, no. 6, pp. 061603-1-4.
- Batchelor, M, Burne, R, Henry, B et al. 2005, 'Statistical Physics and Stromatolite Growth: New Perspectives on an Ancient Dilemma', Physica A: Statistical mechanics and its applications, vol. 350, pp. 6-11.
- Batchelor, M, Guan, X & McGuire, J 2004, 'Ground State of 1D Bosons with Delta Interaction: Link to the BCS Model', Journal of Physics A: Mathematical and General, vol. 37, pp. L497-L504.
- Batchelor, M, Guan, X, Oelkers, N et al 2004, 'Quantum Phase Diagram of an Exactly Solved Mixed Spin Ladder', Journal of Statistical Physics, vol. 116, no. 114, pp. 571 - 589.
- Batchelor, M, Guan, X, Oelkers, N et al 2004, 'Thermal and Magnetic Properties of Integrable Spin-1 and Spin-3/2 Chains with Applications to Real Compounds', Journal of Statistical Mechanics: Theory and Experiment, vol. 4, pp. 10017-1-37.
- Mitra, S, Nienhuis, B, de Gier, J et al 2004, 'Exact Expressions for Correlations in the Ground State of the Dense O(1) Loop Model', Journal of Statistical Mechanics: Theory and Experiment, vol. 4, pp. 9010-1-24.
- Batchelor, M, Guan, X & Oelkers, N 2004, 'Thermal and Magnetic Properties of Spin-1 Magnetic Chain Compounds with Large Single-Ion and In-Plane Anisotropies', Physical Review B: Condensed Matter and Materials, vol. 70, no. 18, pp. 184408-1-16.
- Batchelor, M, Burne, R, Henry, B et al 2004, 'A Case for Biotic Morphogenesis of Coniform Stromatolites', Physica A: Statistical mechanics and its applications, vol. 337, pp. 319-326.
- Batchelor, M, Burne, R, Henry, B et al 2003, 'Mathematical and Image Analysis of Stromatolite Morphogenesis', Mathematical Geology, vol. 35, no. 7, pp. 789-803.
- Maslen, M, Batchelor, M & De Gier, J 2003, 'Magnetization Plateaux in Bethe Ansatz Solvable Spin-S Ladders', Physical Review B, vol. 68, no. 2, pp. 024418-1-8.
- Henry, B & Batchelor, M 2003, 'Random Walks on Finite Lattice Tubes', Physical Review E, vol. 68, no. 1, pp. 016112-1-8.
- Batchelor, M, Guan, X, Foerster, A et al 2003, 'Note on the Thermodynamic Bethe Ansatz Approach to the Quantum Phase Diagram of the Strong Coupling Ladder Compounds', New Journal of Physics, vol. 5, pp. 107.1-107.9.
- Batchelor, M, Guan, X, Foerster, A et al 2003, 'Thermodynamic Properties of an Integrable Quantum Spin Ladder with Boundary Impurities', Nuclear Physics B, vol. 669, pp. 385-416.
- Batchelor, M, Guan, X, Oelkers, N et al 2003, 'Exact Results for the Thermal and Magnetic Properties of Strong Coupling Ladder Compounds', Physical Review Letters, vol. 91, no. 21, pp. 217202-1-4.
- De Gier, J, Batchelor, M, Nienhuis, B et al 2002, 'The XXZ spin chain at Delta=-1/2: Bethe roots, symmetric functions and determinants', Journal of Mathematical Physics, vol. 43, no. 8, pp. 4135-4146.
- Batchelor, M & Henry, B 2002, 'Exact solution for random walks on the triangular lattice with absorbing boundaries', Journal of Physics A: Mathematical and General, vol. 35, pp. 5951-5959.
- Batchelor, M, De Gier, J & Nienhuis, B 2002, 'The Rotor model and combinatorics', International Journal of Modern Physics B, vol. 16, no. 14-15, pp. 1883-1889.
- Batchelor, M & Henry, B 2002, 'Gene Stanley, the n-vector model and random walks with absorbing boundaries', Physica A: Statistical mechanics and its applications, vol. 314, pp. 77-82.
- Seaton, K & Batchelor, M 2002, 'The dilute A4 model, the E7 mass spectrum and the tricritical Ising model a)', Journal of Mathematical Physics, vol. 43, no. 5, pp. 2636-2653.
- Batchelor, M, De Gier, J & Nienhuis, B 2001, 'The quantum symmetric XXZ chain at Δ=-, alternating-sign matrices and plane partitions', Journal of Physics A: Mathematical and General, vol. 34, pp. L265-L270.
- Batchelor, M, De Gier, J & Maslen, M 2001, 'Exactly Solvable su(N)Mixed Spin Ladders', Journal of Statistical Physics, vol. 102, pp. 559-566.
- Seaton, K & Batchelor, M 2001, 'The Inversion Relation and the Dilute A_{3,4,6} Eigenspectrum', Journal of Statistical Physics, vol. 102, pp. 1019-1027.
- Batchelor, M 2000, 'Some Applications of Exactly Solved Models in Statistical Mechanics', APCTP - Nankai Symposium 2000, ed. B K Chung, Q-Han Park & C Rim, World Scientific Publishing Company, Singapore, pp. 48-52.
- Batchelor, M, Henry, B & Watt, S 2000, 'Form and scaling of radial growth', Tohwa University International Conference on Statistical Physics 1999, ed. Stanley, Michio Tokuyama and H Eugene, American Institute of Aeronautics and Astronautics, New York, pp. 521-529.
- Batchelor, M, De Gier, J, Links, J et al 2000, 'Exactly solvable quantum spin ladders associated with the orthogonal and symplectic Lie algebras', Journal of Physics A: Mathematical and General, vol. 33, no. 12, pp. L97-L101.
- Batchelor, M & Maslen, M 2000, 'Ground state energy and mass gap of a generalized quantum spin ladder', Journal of Physics A: Mathematical and General, vol. 33, no. 3, pp. 443 - 448.
- Batchelor, M, Burne, R, Henry, B et al 2000, 'Deterministic KPZ model for stromatolite laminae', Physica A: Statistical mechanics and its applications, vol. 282, no. 1-2, pp. 123 - 136.
- De Gier, J & Batchelor, M 2000, 'Magnetization plateaus in a solvable 3-leg spin ladder', Physical Review B, vol. 62, no. 6, pp. 3584-3587.
- De Gier, J, Batchelor, M & Maslen, M 2000, 'Phase diagram of the SU(8) quantum spin tube', Physical Review B, vol. B 61, no. 22, pp. 15196-15202.
- Batchelor, M & Maslen, M 1999, 'Exactly solvable quantum spin tubes and ladders', Journal of Physics A: Mathematical and General, vol. 32, pp. L377-L380.
Projects and Grants
Grants information is drawn from ARIES. To add or update Projects or Grants information please contact your College Research Office.
- Algebraic and computational approaches for classical and quantum systems (Secondary Investigator)
- Mathematical structure of the quantum Rabi model (Primary Investigator)